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3 years ago

What is 4/9 of 21???

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

6 0

Answer:

9.3π

I hope this helps :3

erastovalidia [21]3 years ago

3 0

Answer:

Hi how are you doing today Jasmine

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

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3 years ago

Pls help me i need help 10 pt

Nataly [62]

Fret seems like the best option.

5 0

3 years ago

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What are prime factors of 1000?

Ede4ka [16]

Answer:

1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000

Step-by-step explanation:

prime factorization is

1000=2*2*2*5*5*5

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3 years ago

90.5 rounded to the nearest one

sladkih [1.3K]

Answer:

Step-by-step explanation:

90.5 needs to be a whole number, and if it ends in 5 you round it up

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3 years ago

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What is the equation of a line whose slope is 3/4 and y-intercept is 6

TEA [102]

Answer:

$y=\frac{3}{4}x +6$

Step-by-step explanation:

The equation of a line is represented by y=mx+b, where m is the slope and b is the y-intercept. Therefore, plug in the values you stated into the equation.

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4 years ago